Find the slope of a line passing through the following points:
(i) (5, 6) and (2, 3)
(ii) (9, -2) and (6, -5)

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Solution

$(i) Slope of line joining (5, 6) and (2, 3) m_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{3 - 6}{2 - 5} = \frac{- 3}{- 3} = 1 Slope of line joining (9, -2) and (6, -5) (i i) m_{2} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- 5 - (- 2)}{6 - 9} = \frac{- 5 + 2}{- 3} = 1$

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